Geodesic
On the Range of the Fourier Transform Associated with the Spherical Mean Operator
Fractional calculus and applied analysis, Tome 7 (2004) no. 4, pp. 339-402.

Voir la notice de l'article provenant de la source Bulgarian Digital Mathematics Library

We characterize the range of some spaces of functions by the Fourier transform associated with the spherical mean operator R and we give a new description of the Schwartz spaces. Next, we prove a Paley-Wiener and a Paley-Wiener-Schawrtz theorems.
Keywords: Spherical Mean Operator, Fourier Transform, Paley-Wiener-Schawrtz Theorems, 42B35, 43A32, 35S30 
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     author = {Jelassi, M. and Rachdi, L.},
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Jelassi, M.; Rachdi, L. On the Range of the Fourier Transform Associated with the Spherical Mean Operator. Fractional calculus and applied analysis, Tome 7 (2004) no. 4, pp. 339-402. http://geodesic.mathdoc.fr/item/FCAA_2004_7_4_a0/